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Finding the Fourth Proportional to 27,202.22, 40,803.32 and 9,672.74

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Solution

The fourth proportional to 27,202.22, 40,803.32 and 9,672.74 is: 14,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.22 : 40,803.32 = 9,672.74 : x
  2. Step 2: Convert to fraction form
    27,202.22/40,803.32 = 9,672.74/x
  3. Step 3: Cross multiply
    27,202.22x = 40,803.32 × 9,672.74
  4. Step 4: Simplify right side
    27,202.22x = 394,679,905.50
  5. Step 5: Solve for x
    x = 394,679,905.50/27,202.22
  6. Step 6: Final answer
    x = 14,509.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.